Question - Solving a System of Inequalities

Solution:

我们要解决的问题是找到一个不等式,它能同时满足$$ x + 2 < 9 $$和$$ x - 1 < 3 $$。首先,我们解第一个不等式:$$ x + 2 < 9 $$$$ x < 9 - 2 $$$$ x < 7 $$接着解第二个不等式:$$ x - 1 < 3 $$$$ x < 3 + 1 $$$$ x < 4 $$因为x必须同时满足这两个条件,所以x的实际取值范围在更严格的条件下,也就是$$ x < 4 $$。所以我们得出结论,可以满足这两个不等式的x的区间是:$$ x < 4 $$这个不等式代表的是所有满足两个给定不等式条件的x值。

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